Question 196978
{{{3x = (1/2)y}}} Start with the second equation.



{{{3x(2) = y}}} Multiply both sides by 2.



{{{6x = y}}} Multiply



{{{y=6x}}} Rearrange the equation



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{{{(x + y) / 2 = 7 }}} Move onto the first equation



{{{(x + 6x) / 2 = 7 }}} Plug in {{{y=6x}}}



{{{(7x) / 2 = 7 }}} Add



{{{7x = 7(2) }}} Multiply both sides by 2.



{{{7x = 14 }}} Multiply



{{{x=(14)/(7)}}} Divide both sides by {{{7}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



So one of the numbers is 2



{{{y=6x}}} Go back to the second equation



{{{y=6(2)}}} Plug in {{{x=2}}}



{{{y=12}}} Multiply



So the other number is 12